A body is thrown vertically up with a velocity \( u \). It passes three points \( A, B \) and \(...

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A body is thrown vertically up with a velocity \( u \). It passes three points \( A, B \) and \( C \) in its upward journey with velocities \( \frac{u}{2}, \frac{u}{3} \) and \( \frac{u}{4} \) respectively. The ratio of the separations between points \( A \) and \( B \) and between \( B \) and \( C \) i.e., \( \frac{A B}{B C} \) is
[AMU (Engg.) 2009]
(a) 1
(b) 2
(c) \( \frac{10}{7} \)
(d) \( \frac{20}{7} \)
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